igtguith
25.04.2020 •
Mathematics
Suppose you flip three fair, mutually independent coins. Define the following events: Let A be the event that the first coin is heads. Let B be the event that the second coin is heads. Let C be the event that the third coin is heads. Let D be the event that an even number of coins are heads. Determine the probability space for this experiment (build the probability tree). Using the probability tree, find the probability of each of the events A, B, C, D, (A AND C), (A AND B AND C), (A OR B OR C
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Ответ:
Please read the answers below.
Correct statement and question:
Suppose you flip three fair, mutually independent coins. Define the following events:
Let A be the event that the first coin is heads.Let B be the event that the second coin is heads.Let C be the event that the third coin is heads.Let D be the event that an even number of coins are heads.1. Determine the probability space for this experiment (build the probability tree).
2. Using the probability tree, find the probability of each of the events A, B, C, D, (A AND C), (A AND B AND C), (A OR B OR C).
Source:
Previous question that can be found at
Step-by-step explanation:
1. Let's determine the probability space, building the probability tree, this way:
Flip 1 2 3 4 5 6 7 8
First Coin Heads Heads Heads Heads Tails Tails Tails Tails
Second Coin Heads Heads Tails Tails Tails Heads Tails Heads
Third Coin Heads Tails Tails Heads Tails Tails Heads Heads
Events A, B, C A, B, D A A, C, D - B C B, C, D
2. Let's find all the probabilities of the events requested using the results from question 1, this way:
P (A) = 4/8 = 1/2
P (B) = 4/8 = 1/2
P (C) = 4/8 = 1/2
P (D) = 3/8
P ( A and C) = 2/8 = 1/4
P (A AND B AND C) = 1/8
P (A OR B OR C) = 7/8
Ответ:
ten and fourteen forty eighths cups
Step-by-step explanation: